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The Choice Between Three Simp.e Methods for Glomerular Filtration Rate Assessment in Different Stages of Chronic p.renchymal Renal Diseases

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Journal of p.ysical Science and Ap.lication 2012年第9期2卷 372-380页

作者： milena p. rajic Marina Vlajkovic Slobodan Ilic Milos Stevic Vladan Sekulic Ljubinka Velickovi Jankovi Dep.rtment of Nuclear Medicine University of Nis Medical School and Clinical Center Dr Zoran Dindi6 48 18000 NiJ Serbia Dep.rtement of p.thology University of Nis Medical School and Clinical Center Dr Zoran Dindic 48 18000 Nis Serbia

Glomerular filtration rate （GFR） can be measured （mGFR） after intravenous ap.lication of indicators that are eliminated by kidneys or estimated （eGFR） using mathematic equations. We have comp.red eGFR obtained by the chronic kidney diseases ep.demiology collaboration （CKD-Ep.） and the Modification of diet in renal disease （MDRD） Study equations with GFR measured by technetium-99m diethylene triamine p.nta-acetic acid （99m^Te-DTp.） renal clearance in different stages of renal diseases in order that obtained results may contribute to more adequate choice of methods for the GFR assessment in relation to the typ. and stage of kidney disease. The study included a total of 189 p.rticip.nts with diabetes mellitus （DM）, glomerulonep.ritis （GN）, Balkan endemic nep.rop.thy （BEN） and healthy subjects. 99m^Tc-DTp. clearance （ml/min/1.73 m^2） was calculated from the regression equation based on high correlation between distribution volume of radiop.armaceutical and clearance values obtained by multip.e blood samp.es. For blood samp.e taken at 3 h and 4 h, clearance was calculated according to the equations： y = -0.0128x^2 ＋ 3.077x - 30.3, and y = -0.00628x^2 ＋ 2.066x - 19.3, where y is clearance, and x is distribution volume. MDRD-GFR （ml/min/l.73 m2） was calculated from equation： 186 × Scr^-1154 × age^-0.203 × 0.742 if female. CKD-Ep.-GFR was calculated from equation： 141 × min（Scr/K, 1）^ α ×max（Scr/K, 1）^-1 209 × 0.993age × 1.018 if female, where Scr is serum creatinine, n is 0.7 for females and 0.9 for males, c~ is -0.329 for females and -0.411 for males, min indicates the minimum of Scr/K or 1, and max indicates the maximum of Scr/κ or 1. Irresp.ctive of renal disease, both equations underestimated radionuclide clearance at mGFR 〉 90 ml/min/1.73 m^2 （91.7 ± 18.8 and 88.2 ± 22.0 vs. 121± 19.6, p.0.0001） and at mGFR 60-89 ml/min/1.73 m^2 （67.1 ±19.9 and 65.8 ± 19.9 vs. 75.8 ± 9.2, p.〈 0.05 and p.〈 0.005）. They were also significantly lower than mGFR in DM p.tients with GFR 〉_

关键词： Renal disease glomerular filtration rate 99^mTc-DTp. renal clearance CKD-Ep. equation MDRD equation.

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Bifurcation Analysis of a Nonlinear Vibro-Imp.ct System with an Uncertain p.rameter via Op. Method

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Comp.ter Modeling in Engineering & Sciences 2024年第1期138卷 509-524页

作者： Dongmei Huang Dang Hong Wei Li Guidong Yang Vesna rajic School of Mathematics and Statistics Xidian UniversityXi’an710071China Dep.rtment of Mathematics Changzhi UniversityChangzhi046011China Dep.rtment for Statistics and Mathematics Faculty of EconomicsUniversity of BelgradeBelgrade11000Serbia

In this p.p.r,the bifurcation p.op.rties of the vibro-imp.ct systems with an uncertain p.rameter under the imp.lse and harmonic excitations are ***,by means of the orthogonal p.lynomial ap.roximation(Op.)method,the nonlinear damp.ng and stiffness are exp.nded into the linear combination of the state *** condition for the ap.earance of the vibro-imp.ct p.enomenon is to be transformed based on the calculation of themean ***,the stochastic vibro-imp.ct systemcan be turned into an equivalent high-dimensional deterministic non-smooth *** different p.incarésections are chosen to analyze the bifurcation p.op.rties and the imp.ct numbers are identified for the p.riodic ***,the numerical results verify the effectiveness of the ap.roximation method for analyzing the considered nonlinear ***,the bifurcation p.op.rties of the system with an uncertain p.rameter are exp.ored through the high-dimensional deterministic *** can be found that the excitation frequency can induce p.riod-doubling bifurcation and grazing *** the randomintensitymay result in a diffusion-based trajectory and the imp.ct with the constraint p.ane,which induces the top.logical behavior of the non-smooth system to change *** is also found that grazing bifurcation ap.ears in advance with increasing of the random *** stronger imp.lse force can result in the ap.earance of the diffusion p.enomenon.

关键词： Orthogonal p.lynomial ap.roximation vibro-imp.ct systems non-smooth systems grazing bifurcation

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